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Q 16

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Introductory Statistics
Found in: Page 385
Introductory Statistics

Introductory Statistics

Book edition OER 2018
Author(s) Barbara Illowsky, Susan Dean
Pages 902 pages
ISBN 9781938168208

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Short Answer

Suppose X ~ N(8, 1). What value of x has a z-score of –2.25?

The value of x is 5.75

See the step by step solution

Step by Step Solution

Step 1 Given Information

Given that, z=-2.25. And,

X~N(8,1) Where,

μ=8

σ=1

We have to find the value of x

Step 2 Explanation

The value of z-score can be calculated as below:

z=x-μσ

Put the provided values in the above expression. Then,

-2.25=x-81

x-8=-2.25×1

x=-2.25+8

x=5.75

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